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Finding the Fourth Proportional to 3,522.73, 4,859.16 and 2,265.42

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Solution

The fourth proportional to 3,522.73, 4,859.16 and 2,265.42 is: 3,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.73 : 4,859.16 = 2,265.42 : x
  2. Step 2: Convert to fraction form
    3,522.73/4,859.16 = 2,265.42/x
  3. Step 3: Cross multiply
    3,522.73x = 4,859.16 × 2,265.42
  4. Step 4: Simplify right side
    3,522.73x = 11,008,042.49
  5. Step 5: Solve for x
    x = 11,008,042.49/3,522.73
  6. Step 6: Final answer
    x = 3,124.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.